Question

7. Construct a AABC in which AB = BC = CA = 7 cm. Write the measures of the angle

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Answer 1

Answer:

To construct an equilateral triangle ABC with side length 7 cm, follow these steps:

Draw a straight line segment AB of length 7 cm.

Place the point of the compass on point A and draw an arc with radius 7 cm.

Place the point of the compass on point B and draw another arc with radius 7 cm, intersecting the first arc at point C.

Draw the line segments AC and BC to complete the triangle.

Now, to find the measures of the angles, we can use the fact that the sum of the angles in a triangle is 180 degrees, and since all three sides are equal, all three angles must also be equal. Let's call each angle x.

Therefore, we can set up the equation:

x + x + x = 180

Simplifying, we get:

3x = 180

Dividing both sides by 3, we get:

x = 60

So each angle of the equilateral triangle ABC measures 60 degrees.

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